3254112324000 has 288 divisors, whose sum is σ = 12228190739856. Its totient is φ = 816718233600.

The previous prime is 3254112323963. The next prime is 3254112324007. The reversal of 3254112324000 is 4232114523.

3254112324000 is a `hidden beast` number, since 3 + 2 + 5 + 411 + 2 + 3 + 240 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3779298576 + 3250333025424 = 61476^2 + 1802868^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (3254112324007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2046589 + ... + 3270588.

Almost surely, 2^{3254112324000} is an apocalyptic number.

3254112324000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3254112324000 is an abundant number, since it is smaller than the sum of its proper divisors (8974078415856).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3254112324000 is a wasteful number, since it uses less digits than its factorization.

3254112324000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5317225 (or 5317204 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 3254112324000 its reverse (4232114523), we get a palindrome (3258344438523).

The spelling of 3254112324000 in words is "three trillion, two hundred fifty-four billion, one hundred twelve million, three hundred twenty-four thousand".